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題名 雙半折疊解析度IV之二水準部份因子設計
作者 葉紫君
貢獻者 丁兆平
葉紫君
日期 2002
上傳時間 9-May-2016 16:23:31 (UTC+8)
摘要   在二水準部份因子設計的領域中,〔半折疊設計〕(semifolding design)的觀念和技巧在解析度III和IV的設計裡已有詳盡的介紹與探討,如Mee and Peralta (2000)和Ting and Hsu (2002),本篇論文主要是針對16-run, 32-run及64-run解析度IV的設計,利用Ting and Hsu (2002)所提的概念與作法,進行半折疊與雙半折疊(double-semifolding)。本論文所建議之雙半折疊過程為先將原始設計分成四個部份,然後再對其中一部份進行折疊。文中將表列最佳子集選取的因子組合,並將應用實例來對雙半折疊設計,半折疊設計與全折疊設計做一比較。
  In the area of 2-level fractional factorial design, the concept and techniques of semifolding have been developed for resolution III & IV design, ex. Mee and Peralta (2000) and Ting Hsu (2002). This paper, however, focuses on 16-run, 32-run, and 64-run resolution IV design. We apply the semifolding procedure proposed by Ting and Hsu (2002) and extend it to duoble-semifolding. The procedure we suggest in doing duble semifolding is to block the original design into four sections, and then to fold over on one section. The "optimal" blocking factors are listed in tables, and the performancr of double semifolding designs in comparison with that of full foldover designs and semifolding designs are shown by means of examples.
參考文獻 1. Chen, J., Sun, D. X., and Wu, C.F.J.(1993). A catalog of Two-level and Three-Level Fractional Factorial Designs with Small Runs. International Statistical Revies, 61, 131-145.
     2. Li, H. and Mee, R. W.(2000). Optimal Foldovers of 2 Design.Technical Report No. 2000-1, Department of statistics,University of Tennessee.
     3. Li, W. and Lin, D.K.J.(2002).Optimal Foldover Plans for Two-Level Fractional Factorial Designs will be apperar in Technometrics.
     4. Mee, R. W. and Peralta, M. (2000). Semifloding 2 Designs.Technometrics, 42, 122-134.
     5. Montgomery, D.C (2001). Design and Analysis of Experiments,5th ed.,John Wiley & Sons, New York, NY.
     6. Ting, C. P. and Hsu, C. L. (2002). Semifolding fractional factorial designs of resolution III. Submitted for publication.
描述 碩士
國立政治大學
統計學系
89354021
資料來源 http://thesis.lib.nccu.edu.tw/record/#A2010000300
資料類型 thesis
dc.contributor.advisor 丁兆平zh_TW
dc.contributor.author (Authors) 葉紫君zh_TW
dc.creator (作者) 葉紫君zh_TW
dc.date (日期) 2002en_US
dc.date.accessioned 9-May-2016 16:23:31 (UTC+8)-
dc.date.available 9-May-2016 16:23:31 (UTC+8)-
dc.date.issued (上傳時間) 9-May-2016 16:23:31 (UTC+8)-
dc.identifier (Other Identifiers) A2010000300en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/95488-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 統計學系zh_TW
dc.description (描述) 89354021zh_TW
dc.description.abstract (摘要)   在二水準部份因子設計的領域中,〔半折疊設計〕(semifolding design)的觀念和技巧在解析度III和IV的設計裡已有詳盡的介紹與探討,如Mee and Peralta (2000)和Ting and Hsu (2002),本篇論文主要是針對16-run, 32-run及64-run解析度IV的設計,利用Ting and Hsu (2002)所提的概念與作法,進行半折疊與雙半折疊(double-semifolding)。本論文所建議之雙半折疊過程為先將原始設計分成四個部份,然後再對其中一部份進行折疊。文中將表列最佳子集選取的因子組合,並將應用實例來對雙半折疊設計,半折疊設計與全折疊設計做一比較。zh_TW
dc.description.abstract (摘要)   In the area of 2-level fractional factorial design, the concept and techniques of semifolding have been developed for resolution III & IV design, ex. Mee and Peralta (2000) and Ting Hsu (2002). This paper, however, focuses on 16-run, 32-run, and 64-run resolution IV design. We apply the semifolding procedure proposed by Ting and Hsu (2002) and extend it to duoble-semifolding. The procedure we suggest in doing duble semifolding is to block the original design into four sections, and then to fold over on one section. The "optimal" blocking factors are listed in tables, and the performancr of double semifolding designs in comparison with that of full foldover designs and semifolding designs are shown by means of examples.en_US
dc.description.tableofcontents 謝誌
     摘要
     Abstract
     目錄
     第一章 緒論
       第一節:前言與文獻回顧-----1
       第二節:研究動機與方向-----4
       第三節:本文架構-----6
     第二章 名詞解釋-----7
     第三章 半折疊設計與雙半折疊設計
       第一節:觀念,作法-----8
       第二節:16-run之半折疊與雙半折疊設計-----25
       第三節:32-run之半折疊與雙半折疊設計-----32
       第四節:64-run之半折疊與雙半折疊設計-----52
     附表一~表六-----68
     參考文獻-----89
zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#A2010000300en_US
dc.title (題名) 雙半折疊解析度IV之二水準部份因子設計zh_TW
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) 1. Chen, J., Sun, D. X., and Wu, C.F.J.(1993). A catalog of Two-level and Three-Level Fractional Factorial Designs with Small Runs. International Statistical Revies, 61, 131-145.
     2. Li, H. and Mee, R. W.(2000). Optimal Foldovers of 2 Design.Technical Report No. 2000-1, Department of statistics,University of Tennessee.
     3. Li, W. and Lin, D.K.J.(2002).Optimal Foldover Plans for Two-Level Fractional Factorial Designs will be apperar in Technometrics.
     4. Mee, R. W. and Peralta, M. (2000). Semifloding 2 Designs.Technometrics, 42, 122-134.
     5. Montgomery, D.C (2001). Design and Analysis of Experiments,5th ed.,John Wiley & Sons, New York, NY.
     6. Ting, C. P. and Hsu, C. L. (2002). Semifolding fractional factorial designs of resolution III. Submitted for publication.
zh_TW